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Finding the Fourth Proportional to 200,754.12, 301,229.46 and 141,967.56

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Solution

The fourth proportional to 200,754.12, 301,229.46 and 141,967.56 is: 213,020.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,754.12 : 301,229.46 = 141,967.56 : x
  2. Step 2: Convert to fraction form
    200,754.12/301,229.46 = 141,967.56/x
  3. Step 3: Cross multiply
    200,754.12x = 301,229.46 × 141,967.56
  4. Step 4: Simplify right side
    200,754.12x = 42,764,811,436.32
  5. Step 5: Solve for x
    x = 42,764,811,436.32/200,754.12
  6. Step 6: Final answer
    x = 213,020.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.